This course is a second course on PDE. It will focus on Boundary value problems for Elliptic second order equations. We will develop the associated Functional Analysis, Fredholm Theory and Sobolev spaces. We shall also do the Cauchy-Kowalevsky theorem and the Holmgren uniqueness theorem if not done in Math 517. Time permitting we shall do the initial value problem for Schrodinger and wave equations.
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Math 501, 502.